Greatest Common Factor of 294/89, 221/23, 374/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/89, 221/23, 374/186

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 294/89,221/23,374/186

Given fractions are 294/89,221/23,374/186

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 294,221,374

Greatest Common Factor of Numerators i.e. GCF of 294,221,374 is 1 .

LCM of Denominators means LCM of 89,23,186 as per the given fractions.

LCM of 89,23,186 is 380742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,221,374

GCF of Fractions 294/89,221/23,374/186 is 1/380742

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 294,221,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,221,374 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 294,221,374 . The biggest common factor number is the GCF number.
So the greatest common factor 294,221,374 is 1.

Lets's calculate LCM of 89,23,186

Given numbers has no common factors except 1. So, there LCM is their product i.e 380742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/380742

Therefore, the GCF of Fractions 294/89,221/23,374/186 is 1/380742

Least Common Multiple of 89,23,186 with GCF Formula

Least Common Multiple of 89,23,186 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 89,23,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,23,186) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(89,23,186) x common factors =1 x 1 = 1

LCM(89,23,186) = ( 89 × 23 × 186 ) / 1

LCM(89,23,186) = 380742 / 1

LCM(89,23,186) = 380742


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 294/89, 221/23, 374/186

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 294/89, 221/23, 374/186?

Answer: GCF of Numerators as per given numbers 294/89, 221/23, 374/186 is

GCF of Numerators i.e. for 294,221,374 is 1

LCM of denominators i.e. for 89,23,186 is 380742.

Thus, GCF of Fractions is 1/380742.Finally, GCF of Fractions for 294/89, 221/23, 374/186 is 1/380742.